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Finding the Fourth Proportional to 121,046.52, 181,569.78 and 37,947

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Solution

The fourth proportional to 121,046.52, 181,569.78 and 37,947 is: 56,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,046.52 : 181,569.78 = 37,947 : x
  2. Step 2: Convert to fraction form
    121,046.52/181,569.78 = 37,947/x
  3. Step 3: Cross multiply
    121,046.52x = 181,569.78 × 37,947
  4. Step 4: Simplify right side
    121,046.52x = 6,890,028,441.66
  5. Step 5: Solve for x
    x = 6,890,028,441.66/121,046.52
  6. Step 6: Final answer
    x = 56,920.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.